A sound produced on the surface of a lake takes 13.5 s to reach a boatman. How much time will it take to reach a diver inside water at the same distance if speed of sound in water is 4.5 times the speed of sound in air?
Answers
Answered by
1
Given:
A sound produced on the surface of a lake takes 13.5 s to reach a boatman.
To find:
How much time will it take to reach a diver inside water at the same distance if speed of sound in water is 4.5 times the speed of sound in air?
Solution:
Let Va = speed of sound in air.
Vw = speed of sound in water.
ta = time taken to reach the boatman
tw = time taken to reach the diver
so, we have,
Va × ta = Vw × tw
From given, we have,
ta = 13.5 s and Vw = 4.5 × Va
Va × 13.5 = 4.5 × Va × tw
13.5 = 4.5 × tw
tw = 13.5/4.5
∴ tw = 3 sec
Therefore, the time taken to reach the diver is 3 s.
Answered by
2
Answer:
- 1 s
Step-by-step explanation:
Given
- Vₐₜₑᵣ : Vₐᵢᵣ = 4 : 5
- tₐᵢᵣ = 4.5 s
To find
- tₐₜₑᵣ
Solution
↦ Vₐᵢᵣ = d/tₐᵢᵣ and Vₐₜₑᵣ = d/tₐₜₑᵣ
→ Vₐᵢᵣ × tₐᵢᵣ = Vₐₜₑᵣ × tₐₜₑᵣ
∴ tₐₜₑᵣ = Vₐᵢᵣ/Vₐₜₑᵣ × tₐᵢᵣ
- 1/4.5 × 4.5
- 1
Hence, the time taken to reach a diver inside water is 1 second.
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